What is the Least Common Multiple of 84396 and 84400?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84396 and 84400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84396 and 84400, than apply into the LCM equation.

GCF(84396,84400) = 4
LCM(84396,84400) = ( 84396 × 84400) / 4
LCM(84396,84400) = 7123022400 / 4
LCM(84396,84400) = 1780755600

Least Common Multiple (LCM) of 84396 and 84400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84396 and 84400. First we will calculate the prime factors of 84396 and 84400.

Prime Factorization of 84396

Prime Factorization of 84400

Now multiplying the highest exponent prime factors to calculate the LCM of 84396 and 84400.

LCM(84396,84400) = 2⁴ × 3¹ × 13¹ × 541¹ × 5² × 211¹
LCM(84396,84400) = 1780755600